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Finding the Third Proportional to 334,092 and 728,482

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Solution

The third proportional to 334,092 and 728,482 is: 1,588,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,092 : 728,482 = 728,482 : x
  2. Step 2: Convert to fraction form
    334,092/728,482 = 728,482/x
  3. Step 3: Cross multiply
    334,092x = 728,482 × 728,482
  4. Step 4: Simplify right side
    334,092x = 530,686,024,324
  5. Step 5: Solve for x
    x = 530,686,024,324/334,092
  6. Step 6: Final answer
    x = 1,588,442.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.